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123133102133 = 8310328151257
BaseRepresentation
bin111001010101101001…
…1100000100000110101
3102202211100122200122012
41302223103200200311
54004134033232013
6132322213414005
711616232045646
oct1625323404065
9382740580565
10123133102133
1148247476128
121ba4503a305
13b7c4332362
145d614b96cd
15330a08c1a8
hex1cab4e0835

123133102133 has 16 divisors (see below), whose sum is σ = 126276748416. Its totient is φ = 120037451520.

The previous prime is 123133102117. The next prime is 123133102201. The reversal of 123133102133 is 331201331321.

It is a cyclic number.

It is not a de Polignac number, because 123133102133 - 24 = 123133102117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123133102099 and 123133102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133105133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376641 + ... + 2427897.

It is an arithmetic number, because the mean of its divisors is an integer number (7892296776).

Almost surely, 2123133102133 is an apocalyptic number.

It is an amenable number.

123133102133 is a deficient number, since it is larger than the sum of its proper divisors (3143646283).

123133102133 is a wasteful number, since it uses less digits than its factorization.

123133102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51724.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123133102133 its reverse (331201331321), we get a palindrome (454334433454).

The spelling of 123133102133 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 83 103 281 8549 23323 28943 51257 2402269 4254331 5279471 14403217 438196093 1195467011 1483531351 123133102133